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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Independent generators of the $K$-group of a standard two-dimensional field
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by O. Yu. Ivanova
Translated by: N. B. Lebedinskaya
St. Petersburg Math. J. 26 (2015), 567-592
DOI: https://doi.org/10.1090/spmj/1351
Published electronically: May 6, 2015
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Abstract:

It is proved that the $K$-group of any standard two-dimensional field possesses a system of independent generators. Sufficient conditions for generators to be independent are obtained. For a certain class of fields, such generators are described explicitly.
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Bibliographic Information
  • O. Yu. Ivanova
  • Affiliation: St. Petersburg State University of Aerospace Engineering, Bol′shaya Morskaya str. 67, St. Petersburg 190000, Russia
  • Email: olgaiv80@mail.ru
  • Received by editor(s): June 10, 2013
  • Published electronically: May 6, 2015
  • Additional Notes: Supported by RFBR (grant no. 11-01-00588-a)
  • © Copyright 2015 American Mathematical Society
  • Journal: St. Petersburg Math. J. 26 (2015), 567-592
  • MSC (2010): Primary 20G25
  • DOI: https://doi.org/10.1090/spmj/1351
  • MathSciNet review: 3289186